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首页> 外文期刊>Journal of Heat Transfer >Numerical Analysis of the Time-Dependent Energy and Momentum Transfers in a Rarefied Gas Between Two Parallel Planes Based on the Linearized Boltzmann Equation
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Numerical Analysis of the Time-Dependent Energy and Momentum Transfers in a Rarefied Gas Between Two Parallel Planes Based on the Linearized Boltzmann Equation

机译：基于线性化玻尔兹曼方程的稀薄气体在两个平行平面之间随时间变化的能量和动量传递的数值分析

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摘要

Periodic time-dependent behavior of a rarefied gas between two parallel planes caused by an oscillatory heating of one plane is numerically studied based on the linearized Boltzmann equation. Detailed numerical data of the energy transfer from the heated plane to the unheated plane and the forces of the gas acting on the boundaries are provided for a wide range of the gas rarefaction degree and the oscillation frequency. The flow is characterized by a coupling of heat conduction and sound waves caused by repetitive expansion and contraction of the gas. For a small gas rarefaction degree, the energy transfer is mainly conducted by sound waves, except for very low frequencies, and is strongly affected by the resonance of the waves. For a large gas rarefaction degree, the resonance effects become insignificant and the energy transferred to the unheated plane decreases nearly monotonically as the frequency increases. The force of the gas acting on the heated boundary shows a remarkable minimum with respect to the frequency even in the free molecular limit.
机译：基于线性化的玻尔兹曼方程，数值研究了一个平面的振荡加热引起的两个平行平面之间稀有气体的周期性时变行为。对于较宽范围的气体稀化度和振荡频率，提供了从加热平面到未加热平面的能量转移以及作用在边界上的气体力的详细数值数据。该流的特征在于由气体的重复膨胀和收缩引起的热传导和声波的耦合。对于较小的气体稀化度，能量传递主要通过声波进行，除了非常低的频率外，并且受波的共振的强烈影响。对于较大的气体稀化度，共振效应变得微不足道，并且随着频率增加，传递到未加热平面的能量几乎单调减少。即使在自由分子极限内，作用在加热边界上的气体的力相对于频率也显示出显着的最小值。

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